Geometry You create an open box from a square piece of material 24 centimeters on a

Chapter 12, Problem 3

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Geometry You create an open box from a square piece of material 24 centimeters on a side. You cut equal squares with sides of length from the corners and turn up the sides. (a) Draw and label a diagram that represents the box. (b) Write a function that represents the volume of the box. (c) The box has a maximum volume when Use a graphing utility to complete the table and observe the behavior of the function as approaches 4. Use the table to fin (d) Use the graphing utility to graph the volume function. Verify that the volume is maximum when x 4.

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